Bayern wins to go back on top

After a tense first half in which neither side dared take any risks, the game finally opened up when Toni Kroos broke the deadlock in the 55th minute.

Thomas Muller added a second for Bayern three minutes later and that was enough to give Jupp Heynckes' side the three points it needed to return to the top of the table, above Eintracht Frankfurt, with four wins from four.

Elsewhere, Hamburg picked up its first win of the season and brought an end to Borussia Dortmund's 31-game unbeaten streak with a 3-2 victory at the HSV Arena.

Hamburg took the lead in the second minute through Son Heung-Min - Rafael van der Vaart the provider on his second home debut for the club - and it remained in front until the start of the second half when Ivan Perisic brought the defending champion level.

Ivo Ilicevic restored Hamburg's advantage in the 55th minute and Son's second of the game gave it a two-goal cushion, which it was only able to hold for 60 seconds before Perisic brought Dortmund back into the game.

However, Dortmund could not find an equaliser, despite spending the last 20 minutes inside the Hamburg half, and had to taste defeat in the league for the first time in almost a year.

Wolfsburg failed to win in front of its own fans once again as it was held 1-1 by a gritty Greuther Furth

Emanuel Pogatetz gifted the visitor the lead with an own goal in the 27th minute, but Ivica Olic spared Wolfsburg's blushes three minutes before half-time.

Mainz picked up its first win of the Bundesliga season to leave opponent Augsburg in its wake and struggling towards the bottom of the table.

Andreas Ivanschitz gave Thomas Tuchel's side the lead in the 10th minute and an Adam Szalai goal a quarter-of-an-hour later was enough to earn it all three points.

The day's other game between Fortuna Dusseldorf and Freiburg finished 0-0.